Can you speak for all the White folks from the sticks?
Is anyone saying that? I grew up in the sticks myself in the South and am white, but I still think I have white privilege, which is not about some guaranteed success in life, it's about people giving me the benefit of the doubt more often than if I was black or Hispanic or Asian even.
Privilege does not follow to one particular interpretation that is used in a deceptive fashion to wholesale deny white privilege instead of considering that their preconceptions might be rooted in the very privilege they enjoy.
There are systemic problems that don't care about race necessarily, or are broader in the application even if they disproportionately affect minority communities by that underlying problem of poor race relations and insensitivity that is a soft form of racism, but nonetheless racism in the nominal sense of treating someone unfairly because of appearance and not demonstrable and neutral applications of an investigative standard.
And those problems are about class issues, which should be a concern as well, even if we're talking more an intersectional approach to this, where it isn't just about race, but race is still a factor in terms of inequity (not inequality, that's going to happen anyway, even in an ideal situation because people make stupid decisions with money or bad things happen like the stock market taking a dip with bad investments or a pandemic)
A black kid selling lemonade in a suburban environment versus a white kid doing the same thing in the same context would likely get a different response, though it's not an absolute phenomenon if the community has grown in understanding and isn't falling prey to those underlying issues.
The problem with privilege is that those who benefit from it are likely the first to deny it exists or are unwilling to confront it because they suffer from some problem within society that they want to point to, a relative privation fallacy, as if income inequality and such means that systemic racism and white privilege don't exist or are less important.